MS 150 Statistics q06: Hypothesis Testing • Name:

Measuring apparent optical depth

Index of refraction
1.45
1.27
1.69
2.30
1.13
1.23

In SC 130 Physical Science laboratory ten KG gathered the above data on the index of refraction of water. Theoretically the index of refraction for water is 1.33. Use a hypothesis test to determine whether KG's data supports a theoretic value of 1.33 (fails to reject the null hypothesis) or disconfirms a theoretic value of 1.33 (rejects the null hypothesis).

Given the following hypothesis:
Null hypothesis: H0: μ = 1.33
Alternate hypothesis: H1: μ ≠ 1.33
Use α = 0.05

  1. n = __________ Calculate the sample size n
  2. x = __________ Calculate the sample mean x.
  3. sx = __________ Calculate the sample standard deviation sx.
  4. SE = __________ Calculate the standard error of the sample mean x.
  5. df = __________ Determine the degrees of freedom.
  6. tc = __________ Calculate the value of tcritical
  7. t = __________ Calculate the t-statistic t.
  8. ________________________________________ Would we reject the null hypothesis or fail to reject the null hypothesis at α = 0.05?
  9. __________ Does KG's data support or disconfirm the theoretic index of refraction of 1.33 water?